\newproblem{lay:3_2_36}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 3.2.36}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Nov. 11th, 2013} \\}{}

  % Problem statement
	Suppose that $A$ is a square matrix such that $\det A^4=0$. Explain why $A$ cannot be invertible.
}{
  % Solution
	We know that $|A^4|=0=|A|^4$. This means that $|A|=0$ and consequently, it cannot be invertible.
}
\useproblem{lay:3_2_36}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
